Research Article

One-sided W-core inverses of rectangular matrices

Published in: Quaestiones Mathematicae
Volume 48 , issue 11 , 2025 , pages: 1591–1607

DOI: 10.2989/16073606.2025.2536067

Author(s): Bing Dong School of Mathematics, Hefei University of Technology, China , Daihan Xu School of Mathematics, Hefei University of Technology, China , Huihui Zhu School of Mathematics, Hefei University of Technology, China

Keywords: 15A09 , W -core inverses , left W -core inverses , right W -core inverses , column space , null space

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Abstract

The main purpose of this article is to introduce the w-core inverse (and its one-sided versions) of rectangular matrices. The relationship between the right W-core inverse and the left W-core inverse is studied. Several basic properties and characterizations on W-core inverses are presented.

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